Divergent series, summability and resurgence.: III, Resurgent methods and the first Painlevé equation
(Web Content)

Book Cover
Average Rating
Published:
Switzerland : Springer, 2016.
Format:
Web Content
Content Description:
1 online resource (xxii, 230 pages) : illustrations (some color).
Status:
Available Online
Description

The aim of this volume is two-fold. First, to show how the resurgent methods introduced in volume 1 can be applied efficiently in a non-linear setting; to this end further properties of the resurgence theory must be developed. Second, to analyze the fundamental example of the First Painlevé equation. The resurgent analysis of singularities is pushed all the way up to the so-called "bridge equation", which concentrates all information about the non-linear Stokes phenomenon at infinity of the First Painlevé equation. The third in a series of three, entitled Divergent Series, Summability and Resurgence, this volume is aimed at graduate students, mathematicians and theoretical physicists who are interested in divergent power series and related problems, such as the Stokes phenomenon. The prerequisites are a working knowledge of complex analysis at the first-year graduate level and of the theory of resurgence, as presented in volume 1.

Also in This Series
Copies
CMU Electronic Access
More Like This
More Copies In Prospector
Loading Prospector Copies...
More Details
Language:
English
ISBN:
9783319290003, 3319290002
UPC:
10.1007/978-3-319-29000-3

Notes

Bibliography
Includes bibliographical references and index.
Description
The aim of this volume is two-fold. First, to show how the resurgent methods introduced in volume 1 can be applied efficiently in a non-linear setting; to this end further properties of the resurgence theory must be developed. Second, to analyze the fundamental example of the First Painlevé equation. The resurgent analysis of singularities is pushed all the way up to the so-called "bridge equation", which concentrates all information about the non-linear Stokes phenomenon at infinity of the First Painlevé equation. The third in a series of three, entitled Divergent Series, Summability and Resurgence, this volume is aimed at graduate students, mathematicians and theoretical physicists who are interested in divergent power series and related problems, such as the Stokes phenomenon. The prerequisites are a working knowledge of complex analysis at the first-year graduate level and of the theory of resurgence, as presented in volume 1.
Reviews from GoodReads
Loading GoodReads Reviews.
Tagging
Tags:

No Tags, Be the first to tag this record!


Citations
APA Citation (style guide)

Delabaere, Ã. (2016). Divergent series, summability and resurgence. Switzerland, Springer.

Chicago / Turabian - Author Date Citation (style guide)

Delabaere, Éric. 2016. Divergent Series, Summability and Resurgence. Switzerland, Springer.

Chicago / Turabian - Humanities Citation (style guide)

Delabaere, Éric, Divergent Series, Summability and Resurgence. Switzerland, Springer, 2016.

MLA Citation (style guide)

Delabaere, Éric. Divergent Series, Summability and Resurgence. Switzerland, Springer, 2016.

Note! Citation formats are based on standards as of July 2022. Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy.
Staff View
Grouped Work ID:
08698915-2dc0-182f-33b1-e18d8a009936
Go To GroupedWork

Record Information

Last Sierra Extract TimeMar 04, 2024 07:14:24 AM
Last File Modification TimeMar 04, 2024 07:14:49 AM
Last Grouped Work Modification TimeMar 04, 2024 07:14:31 AM

MARC Record

LEADER05676cam a2200817Ii 4500
001953242144
003OCoLC
00520210625185433.8
006m     o  d        
007cr cnu|||unuuu
008160708s2016    sz a    ob    001 0 eng d
019 |a 952973276
020 |a 9783319290003|q (electronic bk.)
020 |a 3319290002|q (electronic bk.)
020 |z 9783319289991|q (print)
020 |z 3319289993
0247 |a 10.1007/978-3-319-29000-3|2 doi
035 |a (OCoLC)953242144|z (OCoLC)952973276
040 |a GW5XE|b eng|e rda|e pn|c GW5XE|d YDXCP|d OCLCF|d COO|d JG0|d IAD|d JBG|d ICW|d ILO|d ICN|d ESU|d IOG|d U3W|d KSU|d EBLCP|d WYU|d AUD|d OCLCQ|d AJS|d UKAHL
049 |a COM6
050 4|a QA295
066 |c (S
072 7|a PBK|2 bicssc
072 7|a MAT034000|2 bisacsh
08204|a 515/.243|2 23
1001 |a Delabaere, Éric,|0 https://id.loc.gov/authorities/names/no2007107743|e author.
24510|a Divergent series, summability and resurgence.|n III,|p Resurgent methods and the first Painlevé equation /|c Eric Delabaere.
24630|a Resurgent methods and the first Painlevé equation
264 1|a Switzerland :|b Springer,|c 2016.
300 |a 1 online resource (xxii, 230 pages) :|b illustrations (some color).
336 |a text|b txt|2 rdacontent
337 |a computer|b c|2 rdamedia
338 |a online resource|b cr|2 rdacarrier
4901 |a Lecture notes in mathematics,|x 0075-8434 ;|v 2155
504 |a Includes bibliographical references and index.
5050 |6 880-01|a Avant-Propos -- Preface to the three volumes -- Preface to this volume -- Some elements about ordinary differential equations -- The first Painlevé equation -- Tritruncated solutions for the first Painlevé equation -- A step beyond Borel-Laplace summability -- Transseries and formal integral for the first Painlevé equation -- Truncated solutions for the first Painlevé equation -- Supplements to resurgence theory -- Resurgent structure for the first Painlevé equation -- Index.
520 |a The aim of this volume is two-fold. First, to show how the resurgent methods introduced in volume 1 can be applied efficiently in a non-linear setting; to this end further properties of the resurgence theory must be developed. Second, to analyze the fundamental example of the First Painlevé equation. The resurgent analysis of singularities is pushed all the way up to the so-called "bridge equation", which concentrates all information about the non-linear Stokes phenomenon at infinity of the First Painlevé equation. The third in a series of three, entitled Divergent Series, Summability and Resurgence, this volume is aimed at graduate students, mathematicians and theoretical physicists who are interested in divergent power series and related problems, such as the Stokes phenomenon. The prerequisites are a working knowledge of complex analysis at the first-year graduate level and of the theory of resurgence, as presented in volume 1.
5880 |a Online resource; title from PDF title page (SpringerLink, viewed July 8, 2016).
650 0|a Divergent series.|0 https://id.loc.gov/authorities/subjects/sh85120240
650 0|a Summability theory.|0 https://id.loc.gov/authorities/subjects/sh85130426
650 0|a Painlevé equations.|0 https://id.loc.gov/authorities/subjects/sh86005937
650 7|a Divergent series.|2 fast|0 (OCoLC)fst00895691
650 7|a Painlevé equations.|2 fast|0 (OCoLC)fst01050431
650 7|a Summability theory.|2 fast|0 (OCoLC)fst01138488
655 0|a Electronic books.
655 4|a Electronic books.
7102 |a SpringerLink (Online service)|0 https://id.loc.gov/authorities/names/no2005046756
77608|i Print version:|a Delabaere, Éric.|t Divergent series, summability and resurgence. III, Resurgent methods and the first Painlevé equation.|d Switzerland : Springer, 2016|z 3319289993|z 9783319289991|w (OCoLC)932096104
830 0|a Lecture notes in mathematics (Springer-Verlag) ;|0 https://id.loc.gov/authorities/names/n42015165|v 2155.|x 0075-8434
8808 |6 505-00/(S|a 3.4 First Painlevé Equation and Tritruncated Solutions3.4.1 Reminder; 3.4.2 Formal Series Solution and Borel-Laplace Summation; 3.4.2.1 Borel-Laplace Summation; 3.4.2.2 A Link with 1-summability Theory; 3.4.2.3 Miscellaneous Properties; 3.4.2.4 Asymptotics and Approximations; 3.4.3 Tritruncated Solutions; 3.4.3.1 Tritruncated Solutions; Exercices; References; Chapter 4 A Step Beyond Borel-Laplace Summability; 4.1 Introduction; 4.2 Resurgent Functions and Riemann Surface; 4.2.1 Notation; 4.2.2 The Riemann Surface of Z-Resurgent Functions; 4.2.2.1 The Space RZ, ζ0
8808 |6 505-01/(S|a 4.2.2.2 The Riemann Surface RZ, ζ0
907 |a .b50943157
948 |a MARCIVE Overnight, in 2023.01
948 |a MARCIVE Over, 07/2021
948 |a MARCIVE Comp, 2019.12
948 |a MARCIVE Comp, 2018.05
948 |a MARCIVE August, 2017
948 |a MARCIVE extract Aug 5, 2017
989 |1 .i138899174|d cueme|g -|m |h 0|x 0|t 0|i 0|j 200|k 210628|o -|w SpringerLink|u http://ezproxy.coloradomesa.edu/login?url=https://link.springer.com/10.1007/978-3-319-29000-3
994 |a 92|b COM
995 |a Loaded with m2btab.ltiac in 2023.01
995 |a Loaded with m2btab.ltiac in 2021.07
995 |a Loaded with m2btab.elec in 2021.06
995 |a Loaded with m2btab.ltiac in 2019.12
995 |a Loaded with m2btab.ltiac in 2018.06
995 |a Loaded with m2btab.ltiac in 2017.09
995 |a Loaded with m2btab.elec in 2016
995 |a Loaded with m2btab.elec in 2016
995 |a Loaded with m2btab.elec in 2016
995 |a OCLC offline update by CMU
998 |e -|f eng|a cue|a cu